Sense 1damage, harm, impairment -- (the occurrence of a change for the worse) => change, alteration, modification -- (an event that occurs when something passes from one state or phase to another; "the change was intended to increase sales"; "this storm is certainly a change for the worse"; "the neighborhood had undergone few modifications since his last visit years ago")

Sense 4price, terms, damage -- (the amount of money needed to purchase something; "the price of gasoline"; "he got his new car on excellent terms"; "how much is the damage?") => cost -- (the total spent for goods or services including money and time and labor)

Sense 1damage -- (inflict damage upon; "The snow damaged the roof"; "She damaged the car when she hit the tree") => change, alter, modify -- (cause to change; make different; cause a transformation; "The advent of the automobile may have altered the growth pattern of the city"; "The discussion has changed my thinking about the issue")

Sense 2damage -- (suffer or be susceptible to damage; "These fine china cups damage easily") => change -- (undergo a change; become different in essence; losing one's or its original nature; "She changed completely as she grew older"; "The weather changed last night")